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Finding the Fourth Proportional to 13,794.27, 20,597.59 and 13,014.69

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Solution

The fourth proportional to 13,794.27, 20,597.59 and 13,014.69 is: 19,433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.27 : 20,597.59 = 13,014.69 : x
  2. Step 2: Convert to fraction form
    13,794.27/20,597.59 = 13,014.69/x
  3. Step 3: Cross multiply
    13,794.27x = 20,597.59 × 13,014.69
  4. Step 4: Simplify right side
    13,794.27x = 268,071,303.49
  5. Step 5: Solve for x
    x = 268,071,303.49/13,794.27
  6. Step 6: Final answer
    x = 19,433.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.